The number of traffic accidents per week at an intersection varies with mean 2.19 and standard deviation 1.28. The number of accidents in a week must be a whole number, so the population distribution is not normal. a. Let x be the mean number of accidents per week at the intersection during a year (52 weeks). What is the approximate distribution of xbar according to the central limit theorem? b. What is the approximate probability that xbar is less than 1.87? c. What is the approximate probability that there are fewer than 84 accidents at the intersection in a year? (hint: restate this event in terms of xbar.)

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.